82526634 has 64 divisors (see below), whose sum is σ = 191520000. Its totient is φ = 26308800.

The previous prime is 82526629. The next prime is 82526657. The reversal of 82526634 is 43662528.

Its product of digits (69120) is a multiple of the sum of its prime factors (540).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236292 + ... + 236640.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 2^82526634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82526634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95760000).

82526634 is an abundant number, since it is smaller than the sum of its proper divisors (108993366).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82526634 is a wasteful number, since it uses less digits than its factorization.

82526634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 82526634 is about 9084.4170974257. The cubic root of 82526634 is about 435.3762262368.

The spelling of 82526634 in words is "eighty-two million, five hundred twenty-six thousand, six hundred thirty-four".